{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import fetch_openml, make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import LabelBinarizer\n",
    "from sklearn.metrics import accuracy_score\n",
    "\n",
    "from prml import nn\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1 Feed-forward Network Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(func, n=50):\n",
    "    x = np.linspace(-1, 1, n)[:, None]\n",
    "    return x, func(x)\n",
    "\n",
    "def sinusoidal(x):\n",
    "    return np.sin(np.pi * x)\n",
    "\n",
    "def heaviside(x):\n",
    "    return 0.5 * (np.sign(x) + 1)\n",
    "\n",
    "func_list = [np.square, sinusoidal, np.abs, heaviside]\n",
    "plt.figure(figsize=(20, 10))\n",
    "x = np.linspace(-1, 1, 1000)[:, None]\n",
    "for i, func, n_iter in zip(range(1, 5), func_list, [1000, 10000, 10000, 10000]):\n",
    "    plt.subplot(2, 2, i)\n",
    "    x_train, y_train = create_toy_data(func)\n",
    "    model = RegressionNetwork(1, 3, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for _ in range(n_iter):\n",
    "        model.clear()\n",
    "        loss = nn.square(y_train - model(x_train)).sum()\n",
    "        optimizer.minimize(loss)\n",
    "    y = model(x).value\n",
    "    plt.scatter(x_train, y_train, s=10)\n",
    "    plt.plot(x, y, color=\"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3 Error Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ClassificationNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data():\n",
    "    x = np.random.uniform(-1., 1., size=(100, 2))\n",
    "    labels = np.prod(x, axis=1) > 0\n",
    "    return x, labels.reshape(-1, 1)\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "model = ClassificationNetwork(2, 4, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "history = []\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    logit = model(x_train)\n",
    "    log_likelihood = -nn.loss.sigmoid_cross_entropy(logit, y_train).sum()\n",
    "    optimizer.maximize(log_likelihood)\n",
    "    history.append(log_likelihood.value)\n",
    "    \n",
    "plt.plot(history)\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"Log Likelihood\")\n",
    "plt.show()\n",
    "    \n",
    "x0, x1 = np.meshgrid(np.linspace(-1, 1, 100), np.linspace(-1, 1, 100))\n",
    "x = np.array([x0, x1]).reshape(2, -1).T\n",
    "y = nn.sigmoid(model(x)).value.reshape(100, 100)\n",
    "\n",
    "levels = np.linspace(0, 1, 11)\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel())\n",
    "plt.contourf(x0, x1, y, levels, alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(-1, 1)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.5 Regularization in Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(n=10):\n",
    "    x = np.linspace(0, 1, n)[:, None]\n",
    "    return x, np.sin(2 * np.pi * x) + np.random.normal(scale=0.25, size=(10, 1))\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "x = np.linspace(0, 1, 100)[:, None]\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, m in enumerate([1, 3, 30]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    model = RegressionNetwork(1, m, 1)\n",
    "    optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "    for j in range(10000):\n",
    "        model.clear()\n",
    "        y = model(x_train)\n",
    "        optimizer.minimize(nn.square(y - y_train).sum())\n",
    "        if j % 1000 == 0:\n",
    "            optimizer.learning_rate *= 0.9\n",
    "    y = model(x)\n",
    "    plt.scatter(x_train.ravel(), y_train.ravel(), marker=\"x\", color=\"k\")\n",
    "    plt.plot(x.ravel(), y.value.ravel(), color=\"k\")\n",
    "    plt.annotate(\"M={}\".format(m), (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RegularizedRegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2 = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_output))\n",
    "            self.b2 = nn.zeros(n_output)\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        return h @ self.w2 + self.b2\n",
    "    \n",
    "    def log_prior(self):\n",
    "        logp = 0\n",
    "        for param in self.parameter.values():\n",
    "            logp += self.prior.log_pdf(param)\n",
    "        return logp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RegularizedRegressionNetwork(1, 30, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    pred = model(x_train)\n",
    "    log_posterior = -nn.square(pred - y_train).sum() + model.log_prior()\n",
    "    optimizer.maximize(log_posterior)\n",
    "    if i % 1000 == 0:\n",
    "        optimizer.learning_rate *= 0.9\n",
    "y = model(x).value\n",
    "plt.scatter(x_train, y_train, marker=\"x\", color=\"k\")\n",
    "plt.plot(x, y, color=\"k\")\n",
    "plt.annotate(\"M=30\", (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/9s/lky4p_js2czgsr4_5962ffbw0000gn/T/ipykernel_10810/1588375823.py:5: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "  label = label.astype(np.int)\n"
     ]
    }
   ],
   "source": [
    "def load_mnist():\n",
    "    x, label = fetch_openml(\"mnist_784\", return_X_y=True, as_frame=False)\n",
    "    x = x / np.max(x, axis=1, keepdims=True)\n",
    "    x = x.reshape(-1, 28, 28, 1)\n",
    "    label = label.astype(np.int)\n",
    "\n",
    "    x_train, x_test, label_train, label_test = train_test_split(x, label, test_size=0.1)\n",
    "    y_train = LabelBinarizer().fit_transform(label_train)\n",
    "    return x_train, x_test, y_train, label_test\n",
    "x_train, x_test, y_train, label_test = load_mnist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0000, accuracy 0.18, Log Likelihood -4709.11\n",
      "step 0100, accuracy 0.54, Log Likelihood -356.597\n",
      "step 0200, accuracy 0.66, Log Likelihood -276.443\n",
      "step 0300, accuracy 0.64, Log Likelihood -302.26\n",
      "step 0400, accuracy 0.80, Log Likelihood -71.3797\n",
      "step 0500, accuracy 0.82, Log Likelihood -102.672\n",
      "step 0600, accuracy 0.84, Log Likelihood -113.941\n",
      "step 0700, accuracy 0.84, Log Likelihood -54.7759\n",
      "step 0800, accuracy 0.84, Log Likelihood -76.342\n",
      "step 0900, accuracy 0.92, Log Likelihood -13.4575\n"
     ]
    }
   ],
   "source": [
    "class ConvolutionalNeuralNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.conv1 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 1, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b1 = nn.array([0.1] * 20)\n",
    "            self.conv2 = nn.image.Convolve2d(\n",
    "                nn.random.truncnormal(-2, 2, 1, (5, 5, 20, 20)),\n",
    "                stride=(1, 1), pad=(0, 0))\n",
    "            self.b2 = nn.array([0.1] * 20)\n",
    "            self.w3 = nn.random.truncnormal(-2, 2, 1, (4 * 4 * 20, 100))\n",
    "            self.b3 = nn.array([0.1] * 100)\n",
    "            self.w4 = nn.random.truncnormal(-2, 2, 1, (100, 10))\n",
    "            self.b4 = nn.array([0.1] * 10)\n",
    "        \n",
    "    def __call__(self, x):\n",
    "        h = nn.relu(self.conv1(x) + self.b1)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))        \n",
    "        h = nn.relu(self.conv2(h) + self.b2)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))\n",
    "        h = h.reshape(-1, 4 * 4 * 20)\n",
    "        h = nn.relu(h @ self.w3 + self.b3)\n",
    "        return h @ self.w4 + self.b4\n",
    "\n",
    "model = ConvolutionalNeuralNetwork()\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-3)\n",
    "\n",
    "while True:\n",
    "    indices = np.random.permutation(len(x_train))\n",
    "    for index in range(0, len(x_train), 50):\n",
    "        model.clear()\n",
    "        x_batch = x_train[indices[index: index + 50]]\n",
    "        y_batch = y_train[indices[index: index + 50]]\n",
    "        logit = model(x_batch)\n",
    "        log_likelihood = -nn.loss.softmax_cross_entropy(logit, y_batch).mean(0).sum()\n",
    "        if optimizer.iter_count % 100 == 0:\n",
    "            accuracy = accuracy_score(\n",
    "                np.argmax(y_batch, axis=-1), np.argmax(logit.value, axis=-1)\n",
    "            )\n",
    "            print(\"step {:04d}\".format(optimizer.iter_count), end=\", \")\n",
    "            print(\"accuracy {:.2f}\".format(accuracy), end=\", \")\n",
    "            print(\"Log Likelihood {:g}\".format(log_likelihood.value[0]))\n",
    "        optimizer.maximize(log_likelihood)\n",
    "        if optimizer.iter_count == 1000:\n",
    "            break\n",
    "    else:\n",
    "        continue\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy (test): 0.8594285714285714\n"
     ]
    }
   ],
   "source": [
    "print(\"accuracy (test):\", accuracy_score(np.argmax(model(x_test).value, axis=-1), label_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.6 Mixture Density Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_toy_data(func, n=300):\n",
    "    t = np.random.uniform(size=(n, 1))\n",
    "    x = func(t) + np.random.uniform(-0.05, 0.05, size=(n, 1))\n",
    "    return x, t\n",
    "\n",
    "def func(x):\n",
    "        return x + 0.3 * np.sin(2 * np.pi * x)\n",
    "\n",
    "def sample(x, t, n=None):\n",
    "    assert len(x) == len(t)\n",
    "    N = len(x)\n",
    "    if n is None:\n",
    "        n = N\n",
    "    indices = np.random.choice(N, n, replace=False)\n",
    "    return x[indices], t[indices]\n",
    "\n",
    "x_train, y_train = create_toy_data(func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "class MixtureDensityNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_components):\n",
    "        self.n_components = n_components\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.w1 = nn.random.truncnormal(-2, 2, 1, (n_input, n_hidden))\n",
    "            self.b1 = nn.zeros(n_hidden)\n",
    "            self.w2c = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2c = nn.zeros(n_components)\n",
    "            self.w2m = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2m = nn.zeros(n_components)\n",
    "            self.w2s = nn.random.truncnormal(-2, 2, 1, (n_hidden, n_components))\n",
    "            self.b2s = nn.zeros(n_components)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        coef = nn.softmax(h @ self.w2c + self.b2c)\n",
    "        mean = h @ self.w2m + self.b2m\n",
    "        std = nn.exp(h @ self.w2s + self.b2s)\n",
    "        return coef, mean, std\n",
    "    \n",
    "def gaussian_mixture_pdf(x, coef, mu, std):\n",
    "    gauss = (\n",
    "        nn.exp(-0.5 * nn.square((x - mu) / std))\n",
    "        / std / np.sqrt(2 * np.pi)\n",
    "    )\n",
    "    return (coef * gauss).sum(axis=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model = MixtureDensityNetwork(1, 5, 3)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 1e-4)\n",
    "\n",
    "for i in range(30000):\n",
    "    model.clear()\n",
    "    coef, mean, std = model(x_train)\n",
    "    log_likelihood = nn.log(gaussian_mixture_pdf(y_train, coef, mean, std)).sum()\n",
    "    optimizer.maximize(log_likelihood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1440x1080 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(x_train.min(), x_train.max(), 100)[:, None]\n",
    "y = np.linspace(y_train.min(), y_train.max(), 100)[:, None, None]\n",
    "coef, mean, std = model(x)\n",
    "\n",
    "plt.figure(figsize=(20, 15))\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.plot(x[:, 0], coef.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], coef.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], coef.value[:, 2], color=\"green\")\n",
    "plt.title(\"weights\")\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(x[:, 0], mean.value[:, 0], color=\"blue\")\n",
    "plt.plot(x[:, 0], mean.value[:, 1], color=\"red\")\n",
    "plt.plot(x[:, 0], mean.value[:, 2], color=\"green\")\n",
    "plt.title(\"means\")\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "proba = gaussian_mixture_pdf(y, coef, mean, std).value\n",
    "levels_log = np.linspace(0, np.log(proba.max()), 21)\n",
    "levels = np.exp(levels_log)\n",
    "levels[0] = 0\n",
    "xx, yy = np.meshgrid(x.ravel(), y.ravel())\n",
    "plt.contour(xx, yy, proba.reshape(100, 100), levels)\n",
    "plt.xlim(x_train.min(), x_train.max())\n",
    "plt.ylim(y_train.min(), y_train.max())\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "argmax = np.argmax(coef.value, axis=1)\n",
    "for i in range(3):\n",
    "    indices = np.where(argmax == i)[0]\n",
    "    plt.plot(x[indices, 0], mean.value[(indices, np.zeros_like(indices) + i)], color=\"r\", linewidth=2)\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.7 Bayesian Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train, y_train = make_moons(n_samples=500, noise=0.2)\n",
    "y_train = y_train[:, None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Gaussian(nn.Network):\n",
    "\n",
    "    def __init__(self, shape):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.m = nn.zeros(shape)\n",
    "            self.s = nn.zeros(shape)\n",
    "\n",
    "    def __call__(self):\n",
    "        self.q = nn.Gaussian(self.m, nn.softplus(self.s) + 1e-8)\n",
    "        return self.q.draw()\n",
    "\n",
    "\n",
    "class BayesianNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output=1):\n",
    "        super().__init__()\n",
    "        with self.set_parameter():\n",
    "            self.qw1 = Gaussian((n_input, n_hidden))\n",
    "            self.qb1 = Gaussian(n_hidden)\n",
    "            self.qw2 = Gaussian((n_hidden, n_hidden))\n",
    "            self.qb2 = Gaussian(n_hidden)\n",
    "            self.qw3 = Gaussian((n_hidden, n_output))\n",
    "            self.qb3 = Gaussian(n_output)\n",
    "        self.posterior = [self.qw1, self.qb1, self.qw2, self.qb2, self.qw3, self.qb3]\n",
    "        self.prior = nn.Gaussian(0, 1)\n",
    "\n",
    "    def __call__(self, x):\n",
    "        h = nn.tanh(x @ self.qw1() + self.qb1())\n",
    "        h = nn.tanh(h @ self.qw2() + self.qb2())\n",
    "        return nn.Bernoulli(logit=h @ self.qw3() + self.qb3())\n",
    "    \n",
    "    def kl(self):\n",
    "        kl = 0\n",
    "        for pos in self.posterior:\n",
    "            kl += nn.loss.kl_divergence(pos.q, self.prior).mean()\n",
    "        return kl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = BayesianNetwork(2, 5, 1)\n",
    "optimizer = nn.optimizer.Adam(model.parameter, 0.1)\n",
    "for i in range(1, 2001, 1):\n",
    "    model.clear()\n",
    "    py = model(x_train)\n",
    "    elbo = py.log_pdf(y_train).mean(0).sum() - model.kl() / len(x_train)\n",
    "    optimizer.maximize(elbo)\n",
    "    if i % 100 == 0:\n",
    "        optimizer.learning_rate *= 0.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_grid = np.mgrid[-2:3:100j, -2:3:100j]\n",
    "x1, x2 = x_grid[0], x_grid[1]\n",
    "x_grid = x_grid.reshape(2, -1).T\n",
    "\n",
    "y = np.mean([model(x_grid).mean.value.reshape(100, 100) for _ in range(10)], axis=0)\n",
    "\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train.ravel(), s=5)\n",
    "plt.contourf(x1, x2, y, np.linspace(0, 1, 11), alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-2, 3)\n",
    "plt.ylim(-2, 3)\n",
    "plt.gca().set_aspect('equal', adjustable='box')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
